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Finding the Fourth Proportional to 414,501.44, 620,853.60 and 256,769.60

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Solution

The fourth proportional to 414,501.44, 620,853.60 and 256,769.60 is: 384,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,501.44 : 620,853.60 = 256,769.60 : x
  2. Step 2: Convert to fraction form
    414,501.44/620,853.60 = 256,769.60/x
  3. Step 3: Cross multiply
    414,501.44x = 620,853.60 × 256,769.60
  4. Step 4: Simplify right side
    414,501.44x = 159,416,330,530.56
  5. Step 5: Solve for x
    x = 159,416,330,530.56/414,501.44
  6. Step 6: Final answer
    x = 384,597.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.